# The matrix continued – looks like this one is going to run and run

37 is a factor of every cluster result for ALL multiples of the matrix from 1 to 12.

Scroll down to look at the result for *9 – 666 turns up. Unfathomable.
* 10 has just 37 and 17, the seventh prime number, as its factors for the cluster result.

This appears to me to be some kind of mathematical marvel and I have the distinct impression no-one on earth has ever seen this before.

The data:-

matrix (622340) * 5 = 3111700

Factors for 3111700:- 2, 4, 5, 10, 20, 25, 29, 37, 50, 58, 74, 100, 116, 145, 148, 185, 290, 370, 580, 725, 740, 841, 925, 1073, 1450, 1682, 1850, 2146, 2900, 3364, 3700, 4205, 4292, 5365, 8410, 10730, 16820, 21025, 21460, 26825, 31117, 42050, 53650, 62234, 84100, 107300, 124468, 155585, 311170, 622340, 777925, 1555850

Clustering for 3111700:- 814. Cluster factors:- 2, 11, 22, 37, 74, 407

Matrix * 6
Factors for 3734040:- 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 37, 40, 58, 60, 74, 87, 111, 116, 120, 145, 148, 174, 185, 222, 232, 290, 296, 348, 370, 435, 444, 555, 580, 696, 740, 841, 870, 888, 1073, 1110, 1160, 1480, 1682, 1740, 2146, 2220, 2523, 3219, 3364, 3480, 4205, 4292, 4440, 5046, 5365, 6438, 6728, 8410, 8584, 10092, 10730, 12615, 12876, 16095, 16820, 20184, 21460, 25230, 25752, 31117, 32190, 33640, 42920, 50460, 62234, 64380, 93351, 100920, 124468, 128760, 155585, 186702, 248936, 311170, 373404, 466755, 622340, 746808, 933510, 1244680, 1867020

Clustering for 3734040:- 777. Cluster factors:- 3, 7, 21, 37, 111, 259

Matrix * 7
Factors for 4356380:- 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 37, 58, 70, 74, 116, 140, 145, 148, 185, 203, 259, 290, 370, 406, 518, 580, 740, 812, 841, 1015, 1036, 1073, 1295, 1682, 2030, 2146, 2590, 3364, 4060, 4205, 4292, 5180, 5365, 5887, 7511, 8410, 10730, 11774, 15022, 16820, 21460, 23548, 29435, 30044, 31117, 37555, 58870, 62234, 75110, 117740, 124468, 150220, 155585, 217819, 311170, 435638, 622340, 871276, 1089095, 2178190

Clustering for 4356380:- 740. Cluster factors:- 2, 4, 5, 10, 20, 37, 74, 148, 185, 370

Matrix * 8

Factors for 4978720:- 2, 4, 5, 8, 10, 16, 20, 29, 32, 37, 40, 58, 74, 80, 116, 145, 148, 160, 185, 232, 290, 296, 370, 464, 580, 592, 740, 841, 928, 1073, 1160, 1184, 1480, 1682, 2146, 2320, 2960, 3364, 4205, 4292, 4640, 5365, 5920, 6728, 8410, 8584, 10730, 13456, 16820, 17168, 21460, 26912, 31117, 33640, 34336, 42920, 62234, 67280, 85840, 124468, 134560, 155585, 171680, 248936, 311170, 497872, 622340, 995744, 1244680, 2489360

Clustering for 4978720:- 1702. Cluster factors:- 2, 23, 37, 46, 74, 851

Matrix * 9

Factors for 5601060:- 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 37, 45, 58, 60, 74, 87, 90, 111, 116, 145, 148, 174, 180, 185, 222, 261, 290, 333, 348, 370, 435, 444, 522, 555, 580, 666, 740, 841, 870, 1044, 1073, 1110, 1305, 1332, 1665, 1682, 1740, 2146, 2220, 2523, 2610, 3219, 3330, 3364, 4205, 4292, 5046, 5220, 5365, 6438, 6660, 7569, 8410, 9657, 10092, 10730, 12615, 12876, 15138, 16095, 16820, 19314, 21460, 25230, 30276, 31117, 32190, 37845, 38628, 48285, 50460, 62234, 64380, 75690, 93351, 96570, 124468, 151380, 155585, 186702, 193140, 280053, 311170, 373404, 466755, 560106, 622340, 933510, 1120212, 1400265, 1867020, 2800530

Clustering for 5601060:- 666. Cluster factors:- 2, 3, 6, 9, 18, 37, 74, 111, 222, 333

Matrix * 10
Factors for 6223400:- 2, 4, 5, 8, 10, 20, 25, 29, 37, 40, 50, 58, 74, 100, 116, 145, 148, 185, 200, 232, 290, 296, 370, 580, 725, 740, 841, 925, 1073, 1160, 1450, 1480, 1682, 1850, 2146, 2900, 3364, 3700, 4205, 4292, 5365, 5800, 6728, 7400, 8410, 8584, 10730, 16820, 21025, 21460, 26825, 31117, 33640, 42050, 42920, 53650, 62234, 84100, 107300, 124468, 155585, 168200, 214600, 248936, 311170, 622340, 777925, 1244680, 1555850, 3111700

Clustering for 6223400:- 629. Cluster factors:- 17, 37

Matrix * 11

Factors for 6845740:- 2, 4, 5, 10, 11, 20, 22, 29, 37, 44, 55, 58, 74, 110, 116, 145, 148, 185, 220, 290, 319, 370, 407, 580, 638, 740, 814, 841, 1073, 1276, 1595, 1628, 1682, 2035, 2146, 3190, 3364, 4070, 4205, 4292, 5365, 6380, 8140, 8410, 9251, 10730, 11803, 16820, 18502, 21460, 23606, 31117, 37004, 46255, 47212, 59015, 62234, 92510, 118030, 124468, 155585, 185020, 236060, 311170, 342287, 622340, 684574, 1369148, 1711435, 3422870

Clustering for 6845740:- 1591. Cluster factors:- 37, 43